LEO:
to rain hard - stark regnen
to be pouring with rain - in Strömen gießen
It's pouring with rain. - Es gießt in Strömen.
It's raining hard. - Es regnet stark.
The rain came down in sheets. - Es goss in Strömen.
The rain fell in sheets. - Es goss in Strömen.
to rain cats and dogs [coll.] - Bindfäden regnen
to rain cats and dogs [coll.] - in Strömen regnen
It's pouring. - Es regnet in Strömen.
It's tipping down. [coll.](Brit.) - Es regnet in Strömen
It's tipping it down. [coll.](Brit.) - Es regnet in Strömen
It's bucketing down. [coll.](Brit.) - Es gießt wie aus Eimern.
It's bucketing down. [coll.](Brit.) - Es schüttet wie aus Kübeln.
It's raining buckets. (Amer.) - Es gießt wie aus Eimern.
It's raining buckets. (Amer.) - Es schüttet wie aus Kübeln.
related discussion: chucking it down - #5(and the rest of that thread, and the threads linked in #5)